Integral expansions related to Mehler-Fock type transforms : some new types of integral transforms involving spherical harmonics
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Bibliographic Information
Integral expansions related to Mehler-Fock type transforms : some new types of integral transforms involving spherical harmonics
(Pitman research notes in mathematics series, 367)
Addison Wesley Longman, 1997
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Note
Includes bibliographical references (p. 128-131)
Description and Table of Contents
Description
An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integral transforms. In this book, a number of integral expansions of such type have been established rigorously. As applications, integral expansions of some simple function are also obtained.
Table of Contents
1. Introduction 2. Integral expansions related to Mehler-Fock transforms 3. Integral expansions related to Mehler-Fock type transforms involving associated Legendre functions 4. Integral expansions related to Mehler-Fock type transforms involving generalized associated Legendre functions 5. Some further integral expansions
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